The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1  1 21  6  1  1  1  1  1  3 15  1  1 15  1 21  6  1  1  1 18  1  1  1  1 24  1  1  1  1  1  1 18 21  1  1  1  1  1  1  1  1  1  1  0  1  1  9  0  1  1  6  1  1 15 18  1 18  1 21  1  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24  3 22  9  1 21  8 10  8  8  1  1 16 15  1  5 18  1 19 21  5  1  3 13 25 20  1 23 14 16 22  1  0  6 12  2  7  9  5 13 15  5  0  6 14  1 24  0  1 24  1 26  1  7 10  1  1  2  1 13  6  0  5 21
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 24 13  1 26 20 16 26 11 21 18 13  3 17 14 12  1 25  4 19  4  9  9  0 11  2 22  2 15  9 26  4  0  1  1  6  0  6  1  3 26  1 22 20  2 15 10 24 19  1 12 21  1  4  5 11 16  6 23  1  1  7 16  6
 0  0  0 24 18  9  0  9  0 18 18  0  9  0 12 21  6 12 21 24  3  3 12 24  3 21  6  6 24 21 15  6 12  3 21  6 24  6  3 18 24  3 21  0  9  6  6  0  0 24  6 18 18 21  6 21 12  9  0 24  9 24 12 12  6 21  9 24 18 24 15 21  6  0  3 12  6

generates a code of length 77 over Z27 who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+414x^143+1096x^144+1938x^145+3330x^146+5412x^147+6426x^148+7302x^149+10666x^150+11124x^151+13122x^152+16366x^153+17388x^154+15870x^155+17466x^156+14358x^157+10818x^158+9314x^159+6024x^160+3936x^161+2716x^162+948x^163+408x^164+274x^165+54x^166+90x^167+54x^168+42x^169+78x^170+44x^171+12x^172+12x^173+14x^174+6x^175+24x^176

The gray image is a code over GF(3) with n=693, k=11 and d=429.
This code was found by Heurico 1.16 in 77.6 seconds.